In this work, we are going to use the Padé approximants as fitting functions
to data, which departs from the standard Padé theory and is not supported by
convergence theorems. However, experience shows that this approach
is rather powerful and that its application to similar
particle-physics problems, such as the extraction of resonance pole
positions, is very successful [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}.
We also recall that the gluon and ghost propagators are expected to have
branch cuts in the complex plane and that, even though there are no
general theorems for Padés applied to functions with cuts, it is
observed that the approximants mimic the branch cut of the function by
accumulating interleaved poles and zeros along the
cut [8]}, [9]}, [10]}, [11]}. A classic example in this context is the approximation of
the function \(\log (z)\)  by PAs.
